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Finding the Third Proportional to 98,761.50 and 149,001.75

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Solution

The third proportional to 98,761.50 and 149,001.75 is: 224,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,761.50 : 149,001.75 = 149,001.75 : x
  2. Step 2: Convert to fraction form
    98,761.50/149,001.75 = 149,001.75/x
  3. Step 3: Cross multiply
    98,761.50x = 149,001.75 × 149,001.75
  4. Step 4: Simplify right side
    98,761.50x = 22,201,521,503.06
  5. Step 5: Solve for x
    x = 22,201,521,503.06/98,761.50
  6. Step 6: Final answer
    x = 224,799.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.